Least Common Multiple of 481/64, 892/60, 116/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 481/64, 892/60, 116/411 quickly i.e. 12442508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 481/64, 892/60, 116/411 is 12442508.

LCM(481/64, 892/60, 116/411) = 12442508

LCM of 481/64, 892/60, 116/411

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 481/64,892/60,116/411

Given numbers are 481/64,892/60,116/411

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 481,892,116

Least Common Multiple of Numerators i.e. LCM of 481,892,116 is 12442508.

GCF of Denominators means GCF of 64,60,411 as per the given fractions.

GCF of 64,60,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 481,892,116

LCM of Fractions 481/64,892/60,116/411 is 12442508

2 481, 892, 116
2 481, 446, 58
481, 223, 29

∴ So the LCM of the given numbers is 2 x 2 x 481 x 223 x 29 = 12442508

Least Common Multiple of 481,892,116 with GCF Formula

Least Common Multiple of 481,892,116 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 481,892,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,892,116) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(481,892,116) x common factors =1 x 4 = 4

LCM(481,892,116) = ( 481 × 892 × 116 ) / 4

LCM(481,892,116) = 49770032 / 4

LCM(481,892,116) = 12442508


Lets's calculate GCF of 64,60,411

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12442508/1

Therefore the LCM of Fractions 481/64,892/60,116/411 is 12442508

Greatest Common Factor of 64,60,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,60,411 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 64,60,411 . The biggest common factor number is the GCF number.
So the greatest common factor 64,60,411 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 481/64, 892/60, 116/411

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 481/64, 892/60, 116/411?

Answer: LCM of Numerators as per given numbers 481/64, 892/60, 116/411 is

LCM of Numerators i.e. for 481,892,116 is 12442508

GCF of denominators i.e. for 64,60,411 is 1.

Thus, LCM of Fractions is 12442508.Finally, LCM of Fractions for 481/64, 892/60, 116/411 is 12442508.